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Finding the Fourth Proportional to 6,871.63, 9,482.79 and 3,887.44

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Solution

The fourth proportional to 6,871.63, 9,482.79 and 3,887.44 is: 5,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.63 : 9,482.79 = 3,887.44 : x
  2. Step 2: Convert to fraction form
    6,871.63/9,482.79 = 3,887.44/x
  3. Step 3: Cross multiply
    6,871.63x = 9,482.79 × 3,887.44
  4. Step 4: Simplify right side
    6,871.63x = 36,863,753.45
  5. Step 5: Solve for x
    x = 36,863,753.45/6,871.63
  6. Step 6: Final answer
    x = 5,364.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.